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Simplifying 7(w + 8) = 5w + -4 Reorder the terms: 7(8 + w) = 5w + -4 (8 * 7 + w * 7) = 5w + -4 (56 + 7w) = 5w + -4 Reorder the terms: 56 + 7w = -4 + 5w Solving 56 + 7w = -4 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 56 + 7w + -5w = -4 + 5w + -5w Combine like terms: 7w + -5w = 2w 56 + 2w = -4 + 5w + -5w Combine like terms: 5w + -5w = 0 56 + 2w = -4 + 0 56 + 2w = -4 Add '-56' to each side of the equation. 56 + -56 + 2w = -4 + -56 Combine like terms: 56 + -56 = 0 0 + 2w = -4 + -56 2w = -4 + -56 Combine like terms: -4 + -56 = -60 2w = -60 Divide each side by '2'. w = -30 Simplifying w = -30
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